Control of M/Cox-2/s make-to-stock systems
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Date
2020
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Abstract
This study considers a make-to-stock production system with multiple identicalparallel servers fixed production start-up costs and lost sales. Processing times are assumed to be two-phase Coxian random variables that allows us to model thesystems having rework or remanufacturing operations. First the dynamicprogramming formulation is developed and the structure of the optimal productionpolicy is characterized. Due to the highly dynamic nature of the optimal policy asa second contribution we propose an easy-to-apply production policy. Theproposed policy makes use of the dynamic state information and controlled byonly two parameters. We test the performance of the proposed policy at severalinstances and reveal that it is near optimal. We also assess the value of dynamicstate information in general by comparing the proposed policy with the wellknownstatic inventory position based policy.
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Bilgisayar Bilimleri- Yazılım Mühendisliği-Matematik-Bilgisayar Bilimleri- Teori ve Metotlar, Bilgisayar Bilimleri, Yazılım Mühendisliği, Bilgisayar Bilimleri, Teori Ve Metotlar, Matematik
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[1] Gavish B. Graves S.C. (1980) A one-product production/inventory problem under continuous review policy Operations Research 28(5) 1228- 1236.[2] Heyman D. P. (1968). Optimal operating policies for M/G/1 queuing systems Operations Research 16(2) 362-382.[3] Sobel M. J. (1969) Optimal average-cost policy for a queue with start-up and shut-down costs Operations Research 17(1) 145-162.[4] Gavish B. Graves S.C. (1981) Production/Inventory Systems with a Stochastic Production Rate under a Continuous Review Policy Computers & Operations Research 8(3) 169-183.[5] Graves S. C. Keilson J. (1981) The compensation method applied to a one-product production/inventory problem. Mathematics of Operations Research 6(2) 246-262.[6] Lee H.S. Srinivasan M.M. (1989) The Continuous Review (s S) Policy for Production/Inventory Systems with Poisson Demands and Arbitrary Processing Times Technical Report 87-33.[7] Lee H.S. Srinivasan MM. (1991) Random Review Production/Inventory Systems with Compound Poisson Demands and Arbitrary Processing Times Management Science 37(7) 813- 833.[8] Bulut Ö. & Fadiloğlu M. M. (2011) Production control and stock rationing for a make-to-stock system with parallel production channels IIE Transactions 43(6) 432-450.[9] Ha A. Y. (1997a) Inventory rationing in a maketo- stock production system with several demand classes and lost sales. Management Science 43(8) 1093-1103.[10] Ha A.Y. (1997b) Stock rationing policy for a make-to-stock production system with two priority classes and backordering Naval Research Logistics 43 458-472.[11] Ha A. Y. (2000) Stock rationing in an M/Ek/1 make-to-stock queue Management Science 46(1) 77-87.[12] Gayon J. P. De Vericourt F. Karaesmen F. (2009) Stock rationing in an M/Er /1 multi-class make-to-stock queue with backorders IIE Transactions 41(12) 1096-1109.[13] Rafiei H. Rabbani M. Vafa-Arani H. & Bodaghi G. (2017). Production-inventory analysis of singlestation parallel machine make-to-stock/make-toorder system with random demands and lead times. International Journal of Management Science and Engineering Management 12(1) 33-44.[14] Lippman S. (1975) Applying a new device in the optimization of exponential queuing systems Operations Research 23 687-710.
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An International Journal of Optimization and Control: Theories & Applications (IJOCTA)
Volume
10
Issue
1
Start Page
26
End Page
36
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